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Question

A solid cylinder is rolling down on an inclined plane without slipping. The length of the plane is 30m and its angle of inclination is 30o. If the cylinder starts from rest then its velocity at the bottom of the inclined plane is:

A
14ms1
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B
28ms1
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C
7ms1
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D
35ms1
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Solution

The correct option is A 14ms1
By work energy theorem,h=30sin30
=15m
mgh=mV22+12(mR22)(VR)2 (directly putting up the given physically significant case)
mgh=34mV2
10×15×43=V
200=V=14m/s

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